Nonlinear Magnetohydrodynamics from Gravity

Abstract

We apply the recently established connection between nonlinear fluid dynamics and AdS gravity to the case of the dyonic black brane in AdS_4. This yields the equations of fluid dynamics for a 2+1 dimensional charged fluid in a background magnetic field. We construct the gravity solution to second order in the derivative expansion. From this we find the fluid dynamical stress tensor and charge current to second and third order in derivatives respectively, along with values for the associated transport coefficients.

20 pages. v3: Added section 2.3 on comparison to other approaches and definition of viscosity

References in corpus (17)

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Cited by in corpus (25)

• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Magnetic Brane Solutions in AdS
• Holographic Hydrodynamics with a Chemical Potential
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Charged Magnetic Brane Solutions in AdS_5 and the fate of the third law of thermodynamics
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Dynamical black holes and expanding plasmas
• A gravity derivation of the Tisza-Landau Model in AdS/CFT
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Magnetohydrodynamics from gravity
• Black funnels and droplets in thermal equilibrium
• Composite Fermion Metals from Dyon Black Holes and S-Duality
• Collective Excitations of Holographic Quantum Liquids in a Magnetic Field
• Novel Features of the Transport Coefficients in Lifshitz Black Branes
• The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
• Relativistic Conformal Magneto-Hydrodynamics from Holography
• Phase diagram for non-axisymmetric plasma balls
• Collective modes of polarizable holographic media in magnetic fields
• S-duality in AdS/CFT magnetohydrodynamics
• Incoherent hydrodynamics of density waves in magnetic fields
• Composite-particle hydrodynamics from dyonic black branes
• Fluid dynamics on ultrastatic spacetimes and dual black holes
• Lepton polarization asymmetry in $B_{(}s,d{)}^{\ast }$ arrow ${\mu }^{+}{\mu }^{-}$ with new Z' couplings
• Small Amplitude Forced Fluid Dynamics from Gravity at T = 0